GCD of 114, 718, 408, 869 Calculator

Given Input numbers are 114, 718, 408, 869

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 114, 718, 408, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 718, 408, 869 is 1.

Therefore, GCD of numbers 114, 718, 408, 869 is 1

Given Input Data is 114, 718, 408, 869

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 718 is 2 x 359

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 869 is 11 x 79

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(114, 718) = 40926

GCD(114, 718) = ( 114 x 718 ) / 40926

GCD(114, 718) = 81852 / 40926

GCD(114, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 114, 718, 408, 869 is 1

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1. What is the GCD of 114, 718, 408, 869?

GCD of 114, 718, 408, 869 is 1

2. Where do I get the detailed procedure to find GCD of 114, 718, 408, 869?

You can find a detailed procedure to find GCD of 114, 718, 408, 869 on our page.

3. How to find GCD of 114, 718, 408, 869 on a calculator?

You can find the GCD of 114, 718, 408, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.